From inherent structures to pure states: Some simple remarks and examples Export

@article{citeulike:6032188, abstract = {The notions of pure states and inherent structures, i.e. stable configurations against 1-spin flip are discussed. We explain why these different concepts accidentally coincide in mean-field models with infinite connectivity and present an exactly solvable one-dimensional model where they do not. At zero temperature pure states are to some extent related to k-spin flip stable configurations with k --> \∞ after the thermodynamical limit has been taken. This relationship is supported by an explicit analysis of the TAP equations and calculation of the number of pure states and k-spin flips stable configurations in a mean-field model with finite couplings. Finally, we discuss the relevance of the concepts of pure states and inherent structures in finite-dimensional glassy systems.}, archivePrefix = {arXiv}, author = {{Biroli}, G. and {Monasson}, R.}, citeulike-article-id = {6032188}, citeulike-linkout-0 = {http://arxiv.org/abs/cond-mat/9912061}, citeulike-linkout-1 = {http://arxiv.org/pdf/cond-mat/9912061}, citeulike-linkout-2 = {http://dx.doi.org/10.1209/epl/i2000-00248-2}, citeulike-linkout-3 = {http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=2000EL.....50..155B}, doi = {10.1209/epl/i2000-00248-2}, eprint = {cond-mat/9912061}, journal = {Europhysics Letters}, keywords = {glass, spin}, month = {April}, pages = {155--161}, posted-at = {2009-10-29 13:53:59}, priority = {2}, title = {From inherent structures to pure states: Some simple remarks and examples}, url = {http://dx.doi.org/10.1209/epl/i2000-00248-2}, volume = {50}, year = {2000} }

TY - JOUR ID - citeulike:6032188 L3 - citeulike-article-id:6032188 N2 - The notions of pure states and inherent structures, i.e. stable configurations against 1-spin flip are discussed. We explain why these different concepts accidentally coincide in mean-field models with infinite connectivity and present an exactly solvable one-dimensional model where they do not. At zero temperature pure states are to some extent related to k-spin flip stable configurations with k --> ∞ after the thermodynamical limit has been taken. This relationship is supported by an explicit analysis of the TAP equations and calculation of the number of pure states and k-spin flips stable configurations in a mean-field model with finite couplings. Finally, we discuss the relevance of the concepts of pure states and inherent structures in finite-dimensional glassy systems. JF - Europhysics Letters EP - 161 TI - From inherent structures to pure states: Some simple remarks and examples VL - 50 SP - 155 KW - glass KW - spin AU - {Biroli}, G AU - {Monasson}, R PY - 2000/April// UR - http://dx.doi.org/10.1209/epl/i2000-00248-2 ER -